Answering a generalized version of G. Choquet's problem, various theorems characterizing the minimality of infinite products of abelian groups are proved, providing a pelnty of examples of groups with etremal properties (w.r.t. minimality) of the powers
of Hausdorff groups may fail to be preserved even in finite products. However, it has also been show...
A descriptio of those abelian topological groups is given in whcih every subgroup is minima
summary:It is proven that an infinite-dimensional Banach space (considered as an Abelian topological...
Extending a question of G. Choquet to arbitrary products of abelian groups, this note provides a com...
We study the existence of minimal generating sets in Abelian groups. We prove that Abelian groups wi...
Abstract. We describe the structure of totally disconnected minimal \u3c9- bounded abelian groups by...
This thesis investigates those abelian groups which are minimal with respect to certain quasi-orders...
We characterize Abelian groups with a minimal generating set: Let τ A denote the maximal torsion sub...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
The study of groups available as products of two Abelian subgroups was, if not initiated, so speeded...
AbstractFirst we construct complete totally minimal topological groups which are not locally compact...
AbstractGiven a group G and positive integers r,s≤|G|, we denote by μG(r,s) the least possible size ...
Abstract. An abelian group A was called minimal in [3], if A is isomorphic to all its subgroups of f...
Summary. In the first section we present properties of fields and Abelian groups in terms of commuta...
AbstractThis survey presents some recent trends and results (most of them unpublished) in minimal gr...
of Hausdorff groups may fail to be preserved even in finite products. However, it has also been show...
A descriptio of those abelian topological groups is given in whcih every subgroup is minima
summary:It is proven that an infinite-dimensional Banach space (considered as an Abelian topological...
Extending a question of G. Choquet to arbitrary products of abelian groups, this note provides a com...
We study the existence of minimal generating sets in Abelian groups. We prove that Abelian groups wi...
Abstract. We describe the structure of totally disconnected minimal \u3c9- bounded abelian groups by...
This thesis investigates those abelian groups which are minimal with respect to certain quasi-orders...
We characterize Abelian groups with a minimal generating set: Let τ A denote the maximal torsion sub...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
The study of groups available as products of two Abelian subgroups was, if not initiated, so speeded...
AbstractFirst we construct complete totally minimal topological groups which are not locally compact...
AbstractGiven a group G and positive integers r,s≤|G|, we denote by μG(r,s) the least possible size ...
Abstract. An abelian group A was called minimal in [3], if A is isomorphic to all its subgroups of f...
Summary. In the first section we present properties of fields and Abelian groups in terms of commuta...
AbstractThis survey presents some recent trends and results (most of them unpublished) in minimal gr...
of Hausdorff groups may fail to be preserved even in finite products. However, it has also been show...
A descriptio of those abelian topological groups is given in whcih every subgroup is minima
summary:It is proven that an infinite-dimensional Banach space (considered as an Abelian topological...
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